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AREA FORMULAS
square
= a 2
rectangle
= ab
parallelogram
= bh
trapezoid
= h/2 (b1 + b2)
circle
=
pi
r 2
ellipse
=
pi
r1 r2
Examples
Square: The area formula of a square is area= a^2.
Both side lenghts of the square is 9.
To find the area you go (area=9^2) or (area=9 sqared).
Therefore the area of a square is 81 square units.
Rectangle: The area formula of a rectangle is area = lw, (length times the width)
If your length is 5 and width is 6
To find the area you go (area=5*6)
Therefore the area is 30 square units.
Parallelogram: The area formula for parallelogram is area= bh, (base times the height).
If your base is 9 and the height is 5.
To find the area you go area=(9*5).
Therefore the area is 45 sqaure units.
Trapezoid: The area formula for a trapezoid is area= (b1+b2)/2*h, ( base1+base2 divided by 2 times the height).
If base1 is 10 and base 2 is 5 and the height is 9.
To find the area you go area=(10+5/2*9).
Therefore the area is 67.5 square units.
Circle: The area formula for a circle is area=(pi)r^2), (pie)(r squared)
If the radius of the circle is 12.
To find the area you go area=(pi)(12^2).
Therefore the area of a circle is 452.16 square units.
Ellipse The area formula for a circle is (pi)(r1*r2), (pie)(times radius1 times radius2)
If radius1 is 5 and radius2 is 10.
To find the area you go area=(pi)(5*10).
Therefore the area of an ellipse is 157 square units
Grade 10 Applied objective 28
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In this objective you will learn how to write an equation in standard form.
It's like this y-y1=m(x-x1).
At the end it should look like this Ax+By+C=0.
Now the question looks like this: y-7=3/4(x-4).
The answers are [A] y=3/4x-3/4 [B] 3x+4y+16=0, [C] y=3/4x+4, or [D] -3x+4y-16=0.
Now to find the answer you need to first multiply the 3/4 by (x-4).
Now it's y-7=3/4x-3
Now the next step is to multiply ever thing by 4.
Now it will look like this 4y-28=3x-12. Now add 28 to -28, and -12, and -4y from 4y. But the 4 will take out 4 from 3/4.
Now it will look like this 0=3x-4y+16.
So that means that [B] 3x+4y+16=0 is the answer.
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It's like this y-y1=m(x-x1).
At the end it should look like this Ax+By+C=0.
Now the question looks like this: y-7=3/4(x-4).
The answers are [A] y=3/4x-3/4 [B] 3x+4y+16=0, [C] y=3/4x+4, or [D] -3x+4y-16=0.
Now to find the answer you need to first multiply the 3/4 by (x-4).
Now it's y-7=3/4x-3
Now the next step is to multiply ever thing by 4.
Now it will look like this 4y-28=3x-12. Now add 28 to -28, and -12, and -4y from 4y. But the 4 will take out 4 from 3/4.
Now it will look like this 0=3x-4y+16.
So that means that [B] 3x+4y+16=0 is the answer.